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Note on Symplectic SVD-Like Decomposition
2016
New Trends in Mathematical Sciences
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The aim of this study was to introduce a constructive method to compute a symplectic singular value decomposition (SVDlike decomposition) of a 2n-by-m rectangular real matrix A, based on symplectic reflectors. This approach used a canonical Schur form of skew-symmetric matrix and it allowed us to compute eigenvalues for the structured matrices as Hamiltonian matrix JAA T .
doi:10.20852/ntmsci.2016116032
fatcat:4i7moq2kxnehrbjqfuxhphpcb4